Number theory learning seminar 2014-2015

In the winter and spring the seminar will meet Mondays 2:30--4:30pm in Room 384I on the first week of winter, and 384H in subsequent weeks. This year's seminar will focus on the perfectoid spaces. In the fall we will discuss adic spaces (and their relation with rigid-analytic geometry), in the winter we will discuss the basics of perfectoid spaces (especially the tilting functor and the almost purity theorem), and in the spring we will discuss some applications to p-adic Hodge theory.

For more details on what each lecture will cover with references see here .

Here are some references which may be relevant for this year's seminar:
(BV) Stably uniform affinoids are sheafy, by Buzzard-Verberkmoes
(F) Perfectoides, presque purete et monodromie-poids, by Fontaine
(GR) Almost ring theory, Springer LNM 1800, by Gabber--Ramero
(H0) Bewertungsspektrum und rigide Geometrie, by Huber
(H1) Continuous valuations, by Huber
(H2) A generalization of formal schemes and rigid-analytic varieties, by Huber
(H3) Etale cohomology of rigid-analytic varieties and adic spaces, by Huber
(P) Maximally complete fields, by Poonen
(S1) Perfectoid spaces, by Scholze
(S2) Perfectoid spaces: a survey, by Scholze
(S3) p-adic Hodge theory for rigid-analytic varieties, by Scholze
(W) Adic spaces, by Wedhorn (unpublished notes)

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Notes -- use at your own risk.

These are informal notes. They may change without warning.

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